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Suppose A and B are two events such that...

Suppose A and B are two events such that `0 lt P(B) lt 1`. If `P(A|B')=(P(A))/(1-P(B))` then which one of the following is not true?

A

`P(AnnB)=0`

B

`P(AnnB)=P(A uuB)`

C

`P(A uuB)=P(A)+P(B)`

D

`P(A|B)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Let A and B be two events such that P(A|B) = 1/2 , P(B|A)= 1/3 and P(A nn B)=1/6 , then which one of the following is not true?

    A
    `P(A uuB)=2/3`
    B
    A and B are independent
    C
    A and B are not independent
    D
    `P(A' nn B)=1/6`

  • Suppose A and B are two events such that P(A) ne 0, P(B) ne 0, then

    A
    P(A|B)=P(A)/P(B)
    B
    P(A|B)=`P(A nnB)//P(B)`
    C
    P(A|B). P(B/A)=1
    D
    P(A/B)=P(A)P(B)

  • If A and B are two events such that 2P(A) = 3P(B) . where 0 lt P(B) lt P(A) lt 1 . then which of the following is correct ?

    A
    `P(A|B) lt P(B|A) lt P(A nn B)`
    B
    `P(A nn B) lt P(B|A) lt P(A|B)`
    C
    `P(B|A) lt P(A|B) lt P(A nnB)`
    D
    `P(A nnB) lt P(A|B) lt (B|A)`

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